Alinhac, Serge
Paramétrix et propagation des singularités pour un problème de Cauchy à multiplicité variable
Journées équations aux dérivées partielles, Tome (1975) , p. 3-26
MR 58 #6719 | 2 citations dans Numdam
URL stable : http://www.numdam.org/item?id=JEDP_1975____3_0

Bibliographie

[1] Alinhac S. - Problèmes de Cauchy pour des opérateurs singuliers. Bulletin de la S.M.F., 102, 1974. Numdam | MR 57 #17008 | Zbl 0303.35021

[2] Baouendi M.S. et Goulaouic C. - Cauchy problèms with caracteristic initial hypersuface. Comm. on Pure and Applied Math. Zbl 0256.35050

[3] Berezin J.S. - On Cauchy's problem for linear equ. of the second order with initial cond. on a parabolic line. Mat. Sb. vol. 24, 1949. Zbl 0037.06902

[4] Bers L. - Mathematical aspects of Subsouic and transonic Gas Dynamics, John Wiley and Sons, New-York, 1958. Zbl 0083.20501

[5] Bitsadze A.V. - Equations of mixte type - Akad. Naud SSSR, 1959.

[6] Gellerstedt S. - Sur une équation linéaire aux dérivées partielles de type mixte, Arkiv. Mat. Astr. Fysik. Vol. 25A, 1937, n° 29. JFM 63.1056.03 | Zbl 0016.21203

[7] Hörmander L. - Fourier integral operators I, Acta Mathematica, 127, 1971. MR 52 #9299 | Zbl 0212.46601

[8] Hsieh P.A et Sibuya Y. - On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients, J. Math.Anal. Appl. vol. 16, 1966. MR 34 #403 | Zbl 0161.05803

[9] Ivry V - Dokladi Akad. Naud. SSSR vol. 197, 1971.

[10] Ivry V et Pietkov V. - Uspehi Mat. Nauk. 29,5, (1974).

[11] Lax P.D - Duke Math. J. 24 n° 4, 1957. MR 20 #4096 | Zbl 0083.31801

[12] Lynn R.Y.S et Keller J.B. - Comm. on Pure and Applied Math. 23, 1970. MR 41 #5719 | Zbl 0194.12202

[13] Nersesian A.B - On the Cauchy Problem for degenerating hyperbolic second order equations, Dokladi Akad. Nauk. SSSR, vol. 166, n° 6, 1966. Zbl 0149.30702

[14] Oléinik O.A. - Cauchy Problem for weakly hyperbolic equations, Comm. on Pure and Appl. Math., 23, n° 4, 1970. MR 41 #8823 | Zbl 0193.38602

[15] Protter M.H. - The Cauchy problem for hyperbolic second order equation with data on the parabolic line. Canadian J. of Math. vol. 6, 1954. MR 16,255d | Zbl 0057.08101

[16] Sibuya Y. - Subdominant solutions of the differential equation y - λ²(x - a1) - (x - am) y = 0. Acta Math. vol. 119, 1967. MR 37 #529 | Zbl 0159.11601

[17] Tricomi F. - Sulle equazioni lineari allederivate partiali di 2è ordine di tipo misto, Att. Accad. Naz. Luicie vol. 14, 1923. JFM 49.0346.01